No he's not correct
<span>(3 – 6y2)(y2 + 2)
= 3(y2) -6(y2)(y2) - 6y2(2) </span>+ 3(2)<span>
= 3y2 -6y4 - 12y2 </span>+ 6 <span>
= -6y4 - 9y2 +6</span>
First, we need to transform the equation into its standard form (x - h)²=4p(y - k).
Using completing the square method:
y = -14x² - 2x - 2
y = -14(x² + 2x/14) - 2
y = -14(x² + 2x/14 + (2/28)²) -2 + (2/28)²
y = -14(x + 1/14)² - 391/196
-1/14(y + 391/196) = (x + 1/14)²
This is a vertical parabola and its focus <span>(h, k + p) is (-1/14, -391/196 + 1/56) = (-1/14, -775/392).
Or (-0.071,-1.977).</span>
Answer:
standard deviation is a quantity calculated to indicate the extent of deviation for a group as a whole.
Residual analysis is used to assess the appropriateness of a linear regression model by defining residuals and examining the residual plot graphs.
Happy Birthday!!!!!!
<span>In this formula :
</span><span>y </span>tells us how far up the line goes
<span>x </span>tells us how far along
<span>m </span>is the Slope or Gradient i.e. how steep the line is
<span>b </span>is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the<span> line properties.</span><span> We shall now graph the line </span><span> 3x+2y-62 = 0</span><span> and calculate its properties
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Notice that when x = 0 the value of y is 31/1 so this line "cuts" the y axis at y=31.00000
<span> y-intercept = 62/2 = 31
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When y = 0 the value of x is 62/3 Our line therefore "cuts" the x axis at x=20.66667
<span> x-intercept = 62/3 = 20.66667
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Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 31.000 and for x=2.000, the value of y is 28.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 28.000 - 31.000 = -3.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
<span> Slope = -3.000/2.000 = -1.500
</span><span>
1.Slope = -3.000/2.000 = -1.500
2.x-intercept = 62/3 = 20.66667<span>
3.y-intercept = 62/2 = 31
I got sources from a few websites so excuse if something is weird/wrong.
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Let's find area of the base.: 5x4.3=21.5, 21.5/2=10.75
Area of the Faces : 5x3=15/2=7.5x4=30
Let's add 10.75 +30=40.75